λ
Harmonic Matrix

6,145,628

22 × 61 × 89 × 283
Deficient Even Composite

6,145,628 has digital root 5. The neighboring primes are 6145621 and 6145631; its proper-divisor sum differs from the starting integer by -1,198,216.

Prime Factor Structure

Factorization String 2^2 × 61 × 89 × 283
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,093,040
Proper Divisor Sum 4,947,412
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6145621 ← → #6145631

Radix Representation

Decimal 6145628
Binary 10111011100011001011100 (23 bits)
Octal 0o27343134
Hexadecimal 0x5DC65C

Divisor Catalog (24)

1 2 4 61 89 122 178 244 283 356 566 1,132 5,429 10,858 17,263 21,716 25,187 34,526 50,374 69,052 100,748 1,536,407 3,072,814 6,145,628

Collatz Trajectory (196 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,145,628 3,072,814 1,536,407 4,609,222 2,304,611 6,913,834 3,456,917 10,370,752 5,185,376 2,592,688 1,296,344 648,172 324,086 162,043 486,130 243,065 729,196 364,598 182,299 546,898 273,449 820,348 410,174 205,087 615,262 307,631 922,894 461,447 1,384,342 692,171 2,076,514 1,038,257 3,114,772 1,557,386 778,693 2,336,080 1,168,040 584,020 292,010 146,005 438,016 219,008 109,504 54,752 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500

More profiles

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